Table I
The entries are the values of the signal-to-noise ratio k required by an ideal detector to achieve a reliability q and a false alarm fraction f.
False alarm fraction f | Signal-to-noise ratio k |
---|
q =50% | q =90% | q =99% |
---|
50% | 0.67 | 1.64 | 2.58 |
10% | 1.41 | 2.62 | 3.65 |
1% | 2.34 | 3.62 | 4.66 |
0.1% | 3.09 | 4.37 | 5.42 |
0.01% | 3.72 | 5.00 | 6.05 |
Table II
The entries are the values of the signal-to-noise ratio k required by an ideal detector to achieve a reliability q in an M-channel forced-choice situation.
Reliability q | Signal-to-noise ratio k |
---|
M = 2 | M = 4 | M = 8 |
---|
50% | 0.95 | 1.22 | 1.52 |
90% | 2.36 | 2.65 | 2.93 |
99% | 3.25 | 3.80 | 4.11 |
Table III
The entries are the values of threshold contract C (for a reliability q = 50% in a four-channel forced-choice situation) with a target diameter α in minutes and a background luminance B in ft-L. All of the entries are for a light pulse duration of 0.1 sec. The values of C greater than 0.5 are in parentheses.
α | B = 100 | 10 | 1 | 0.1 | 0.01 | 0.001 |
---|
1 | 0.3459 | (0.5808) | (1.380) | (5.808) | (42.56) | (413.0) |
2 | 0.08650 | 0.1452 | 0.3451 | (1.452) | (10.64) | (103.3) |
4 | 0.02624 | 0.04217 | 0.09772 | 0.3972 | (2.911) | (28.31) |
10 | 0.01462 | 0.01977 | 0.03802 | 0.1291 | (0.9462) | (9.204) |
20 | 0.01164 | 0.01489 | 0.02535 | 0.07413 | (0.5432) | (5.272) |
60 | 0.009376 | 0.01140 | 0.01637 | 0.03917 | 0.2871 | (2.793) |
Table IV
Pupil diameters and Stiles-Crawford factors.
B ft-L | D mm | S | D2S mm2 |
---|
100 | 2.8 | 0.93 | 7.3 |
10 | 4.0 | 0.84 | 13.4 |
1 | 5.0 | 0.76 | 19.0 |
0.1 | 6.1 | 0.66 | 24.5 |
0.01 | 7.0 | 0.58 | 28.6 |
0.001 | 7.4 | 0.55 | 30.0 |
Table V
This is the chief table of this report, and contains the main results. The entries in the table show the detective quantum efficiency Q in percent for the target diameter α (in angular min) in the first column, for the target duration T (in seconds) shown at the head of the column, and for the luminance B indicated above that section of the table. The entries that are derived from a contrast C greater than 0.5 are placed in parentheses.
α | B = 100 ft-L |
---|
T = 1/1000 | T = 1/309 | T = 1/100 | T = 1/30 | T = 1/10 | T = 1/3 | T = 1 |
---|
1 | (0.000764) | (0.00247) | (0.00764) | (0.0184) | 0.0234 | 0.0159 | 0.0110 |
2 | (0.00306) | (0.00988) | 0.0306 | 0.0735 | 0.0935 | 0.0637 | 0.0442 |
4 | (0.00818) | 0.0265 | 0.0818 | 0.197 | 0.254 | 0.166 | 0.106 |
10 | (0.00480) | 0.0155 | 0.0480 | 0.119 | 0.131 | 0.0762 | 0.0376 |
20 | (0.00225) | 0.00729 | 0.0225 | 0.0550 | 0.0516 | 0.0276 | 0.0112 |
60 | 0.000523 | 0.00169 | 0.00523 | 0.0109 | 0.00885 | 0.00419 | 0.00140 |
|
B = 10 ft-L |
|
1 | (0.00138) | (0.00446) | (0.0126) | (0.0293) | (0.0452) | 0.0462 | 0.0279 |
2 | (0.00551) | (0.0178) | (0.0503) | 0.117 | 0.181 | 0.185 | 0.112 |
4 | (0.0169) | (0.0546) | 0.154 | 0.362 | 0.536 | 0.481 | 0.292 |
10 | (0.0158) | 0.0512 | 0.144 | 0.328 | 0.390 | 0.237 | 0.125 |
20 | (0.00894) | 0.0289 | 0.0815 | 0.176 | 0.172 | 0.0896 | 0.0412 |
60 | 0.00240 | 0.00778 | 0.0219 | 0.0447 | 0.0326 | 0.0152 | 0.00551 |
|
B = 1.0 ft-L |
|
1 | (0.00102) | (0.00329) | (0.0102) | (0.0276) | (0.0564) | (0.0612) | (0.0350) |
2 | (0.00407) | (0.0132) | (0.0407) | (0.110) | 0.226 | 0.246 | 0.139 |
4 | (0.0131) | (0.0424) | (0.131) | 0.354 | 0.704 | 0.756 | 0.424 |
10 | (0.0166) | (0.0536) | 0.166 | 0.427 | 0.744 | 0.690 | 0.334 |
20 | (0.0115) | 0.0371 | 0.115 | 0.278 | 0.418 | 0.342 | 0.155 |
60 | (0.00409) | 0.0132 | 0.0409 | 0.0943 | 0.112 | 0.0718 | 0.0248 |
|
B = 0.1 ft-L |
|
1 | (0.000314) | (0.00102) | (0.00314) | (0.0108) | (0.0247) | (0.0293) | (0.0148) |
2 | (0.00126) | (0.00407) | (0.0126) | (0.0433) | (0.0989) | (0.117) | (0.0590) |
4 | (0.00428) | (0.0138) | (0.0428) | (0.137) | 0.330 | 0.370 | 0.187 |
10 | (0.00666) | (0.0215) | (0.0666) | 0.221 | 0.500 | 0.417 | 0.190 |
20 | (0.00493) | (0.0160) | (0.0493) | 0.166 | 0.379 | 0.233 | 0.0993 |
60 | (0.00203) | (0.00626) | 0.0203 | 0.0661 | 0.151 | 0.0602 | 0.0238 |
Table VI
The maximum values of the detective quantum efficiency Q for each of four background luminances, and also the target diameters α and the pulse durations T for which the maximum is achieved.
B ft-L | 0 % | α min | T sec |
---|
100 | 0.255 | 4.4 | 0.09 |
10 | 0.575 | 5.5 | 0.15 |
1.0 | 0.92 | 6.0 | 0.18 |
0.1 | 0.525 | 8.5 | 0.15 |